Prime p₀= 1300643001956052749 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 40 2 46 2 22 2 4 2 (?)
a_n: 0 2 12 14 78 80 120 122 168 170 192 194 198 200
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 200
Found by: Theadalus
db: batch=77, k=14, 10 64 40 46 22 4

SPT(16)	1300642074240072617	0 26 42 54 74 92 120 176 180 236 264 282 302 314 330 356	-927715980132
SPT(16)	1300642109415451711	0 28 42 46 60 88 90 142 156 208 210 238 252 256 270 298	-892540601038
STPT(10)	1300642221146849591	0 2 6 8 48 50 90 92 96 98	-780809203158
STPT(10)	1300642488568488851	0 2 36 38 78 80 120 122 156 158	-513387563898
STPT(10)	1300642740480129251	0 2 6 8 18 20 30 32 36 38	-261475923498
TPT(14)	1300642750422508919	0 2 60 62 108 110 150 152 180 182 240 242 252 254	-251533543830
SPT(16)	1300643282366830951	0 70 72 76 96 118 156 162 286 292 330 352 372 376 378 448	280410778202
STPT(10)	1300643311416623747	0 2 24 26 42 44 60 62 84 86	309460570998
STPT(10)	1300643551047146231	0 2 30 32 78 80 126 128 156 158	549091093482
SPT(16)	1300643768739920753	0 24 56 84 98 120 170 206 288 324 374 396 410 438 470 494	766783868004
SPT(16)	1300643795900001503	0 20 44 54 66 96 108 114 140 146 158 188 200 210 234 254	793943948754